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Director  Joined: 26 Aug 2014
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Concentration: Marketing
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The age of the Earth is approximately 1.3*10^17 seconds, and one year  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 75% (01:38) correct 25% (01:49) wrong based on 332 sessions

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The age of the Earth is approximately $$1.3*10^{17}$$ seconds, and one year is approximately $$3.2 * 10^7$$ seconds. Which of the following is closest to the age of the Earth in years?

A. $$2.5 *10^9$$

B. $$4.1 * 10^9$$

C. $$1.9* 10^{10}$$

D. $$2.5* 10^{11}$$

E. $$4.1 * 10^{11}$$

Originally posted by angelfire213 on 28 Oct 2014, 17:37.
Last edited by Bunuel on 30 Oct 2017, 04:43, edited 2 times in total.
Formatted options.
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Re: The age of the Earth is approximately 1.3*10^17 seconds, and one year  [#permalink]

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1 Year $$= 3.2 * 10^7$$ seconds, so $$1.3*10^{17}$$ seconds would be =

$$\frac{1.3 * 10^{17}}{3.2 * 10^7} = \frac{130*10^{15}}{32*10^6} = 4.1*10^9$$ Years

Answer = B
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Math Expert V
Joined: 02 Sep 2009
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Re: The age of the Earth is approximately 1.3*10^17 seconds, and one year  [#permalink]

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angelfire213 wrote:
The age of the Earth is approximately 1.3*10^17 seconds, and one year is approximately 3.2 * 10^7 seconds. Which of the following is closest to the age of the Earth in years?

A. 2.5 *10^9
B. 4.1 * 10^9
C. 1.9* 10^10
D. 2.5* 10^11
E. 4.1 * 10^11

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Re: The age of the Earth is approximately 1.3*10^17 seconds, and one year  [#permalink]

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I wanted to ask for some help, since I cannot find my mistake.
What I tried to do was:

$$\frac{1.3*10^{17}}{3.2*10^7} = 1.3*3.2*10^7 = 4.16*10^7$$

What am I doing wrong?

Thanks in advance!
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Re: The age of the Earth is approximately 1.3*10^17 seconds, and one year  [#permalink]

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petocities wrote:
I wanted to ask for some help, since I cannot find my mistake.
What I tried to do was:

1.3*10^17/3.2*10^7 = 1.3*3.2*10^7 = 4.16*10^7

What am I doing wrong?

Thanks in advance!

1.3*10^17/3.2*10^7 = 1.3/3.2*10^10 = ~0.4*10^10 = 4*10*9.
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Re: The age of the Earth is approximately 1.3*10^17 seconds, and one year  [#permalink]

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Bunuel wrote:
petocities wrote:
I wanted to ask for some help, since I cannot find my mistake.
What I tried to do was:

1.3*10^17/3.2*10^7 = 1.3*3.2*10^7 = 4.16*10^7

What am I doing wrong?

Thanks in advance!

1.3*10^17/3.2*10^7 = 1.3/3.2*10^10 = ~0.4*10^10 = 4*10*9.

Ah of course, silly mistake. Thanks a lot Bunuel
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Re: The age of the Earth is approximately 1.3*10^17 seconds, and one year  [#permalink]

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2
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angelfire213 wrote:
The age of the Earth is approximately $$1.3*10^{17}$$ seconds, and one year is approximately $$3.2 * 10^7$$ seconds. Which of the following is closest to the age of the Earth in years?

A. $$2.5 *10^9$$

B. $$4.1 * 10^9$$

C. $$1.9* 10^{10}$$

D. $$2.5* 10^{11}$$

E. $$4.1 * 10^{11}$$

Or simply approximate:

1.3/3.2 is a bit less than 1/2 (i.e. less than 0.5).
$$10^{17}/10^7$$ will give $$10^{10}$$.

Of the given options, $$4.1 * 10^9$$ works.
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Joined: 16 Oct 2017
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Re: The age of the Earth is approximately 1.3*10^17 seconds, and one year  [#permalink]

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I'm confused. How come we didn't convert from secs to years? We just straight up divide the two (in secs) and that gets us an answer in "years"?
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Re: The age of the Earth is approximately 1.3*10^17 seconds, and one year  [#permalink]

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_________________ Re: The age of the Earth is approximately 1.3*10^17 seconds, and one year   [#permalink] 17 May 2019, 10:22
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